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Finding the Fourth Proportional to 5,438.73, 7,509.07 and 4,177.54

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Solution

The fourth proportional to 5,438.73, 7,509.07 and 4,177.54 is: 5,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.73 : 7,509.07 = 4,177.54 : x
  2. Step 2: Convert to fraction form
    5,438.73/7,509.07 = 4,177.54/x
  3. Step 3: Cross multiply
    5,438.73x = 7,509.07 × 4,177.54
  4. Step 4: Simplify right side
    5,438.73x = 31,369,440.29
  5. Step 5: Solve for x
    x = 31,369,440.29/5,438.73
  6. Step 6: Final answer
    x = 5,767.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.